6. Suppose you are a baseball pitcher with two pitches, fastball and curve. Your opponents batting averages

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6. Suppose you are a baseball pitcher with two pitches, fastball and curve. Your opponents’

batting averages against these two pitches are as shown in the diagram below. If your goal is to minimize your opponents’ overall batting average, what is the optimal proportion of fastballs? At this proportion, what are opponents’ batting averages against your two pitches?

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